A division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 40 board feet of wood and 5 labor-hours. Each chair requires 16 board feet of woodand 4 labor-hours. The profit for each table is $45, and the profit for each chair is $20. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours availablHow many tables and chairs should Winston manufacture to maximize its profit?tableschairsWhat is the maximum profit?$

Answered: Image /qna-images/answer/c57e6d18-1119-4ddd-860e-54de85470ada.jpg

Answered: and 4 labor-hours. The profit for each…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Construction A contractor estimates that it will require $16,400 of upgrades to make a home more energy efficient. She further estimates that the upgrades will save the residents $80 per month in energy bills. What is the payback time for these upgrades in months and in years and months?
The owner of a skating rink rents the rink for parties at $800 if 40 or fewer skaters attend, so that the cost per person is $20 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 40, 50, and 60 skaters attend. No. of skaters Total Revenue 40 50 60 Price per Skater $ $ $ (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60? O The revenue increases. O The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters. R(x) = (d) Find the number of skaters that will maximize the revenue. skaters (e) Find the maximum revenue. $ (f) When the revenue is at the maximum possible, what price is paid per skater? $
Break Even Point: In business the point (usually quantity of goods sold) where the cost equals the revenue. Cal's Cookie Emporium sells cookies. Cal buys the ingredients for his cookies in bulk. The total cost for ingredients is $550.00. In addition it costs Cal $1.00 to cook and package his cookies. His plan is to sell his cookies for $2.25 each. How many cookies will he have to sell to break even? edu gear
Maxima and MInima A Travels and Tour bus has 50 seats. Experience shows that when a tour costs P28,000, all seats on the bus will be sold. For each additional P1,000 charged, however, 2 fewer seats will be sold. Find the largest possible revenue.
res and fliers tching tours. wires three s two. They paper, but chures and osts 10¢ to to print. their print st? anufactures It takes 8 wboard and a set of skis. or available n. Due to e at least 15 s profit $55 ach. How produce in a r profit? The amphitheater has two types of tickets available, reserved seats and lawn seats. The maximum capacity of the venue is 20,000 people, however, they must sell at least 5,000 tickets for a concert to be held. As an additional constraint, the number of lawn seats cannot exceed the number of reserved seats. If reserved seats profit $65 each and lawn tickets profit $40 each, how many of each must they sell to maximize their profits? 6 Ben works for a software company in Cleveland. To train new employees, Ben travels to their two other locations, Buffalo and Philadelphia. A Buffalo trip takes two days while a Philadelphia trip takes three days. He can travel no more than 105 days each year. Due to many new employees this year, he must travel to…

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